Weather strip for Peachtree double entry doors

I have a peachtree front door. One 32" side swings open on a regular basis. The other side by releasing latches will open. This door is rarely swung open. At the center of these two doors is a weatherstrip that has an adhesive on the back side that holds it to the stationary door. Would you have a replacement for this weatherstrip?

I would say the cross section of the insulation is about 1/2" square. It is encased in a cover, (like the common door insulation weather strip you see at Lowes or Home Depot). It is probably a foam inside the encasing material. It is held to the center post with an adhesive backing.

I don't have a picture but I may be able to take one.

John K

Attached is a picture of the cross section of the weather strip I am searching for. I have pulled it away from the center strip it was attached to and turned it 90 degrees toward me. The white strip at the top of the picture is the adhesive strip that hold the WS to the door's center strip.

The cross section looks similar to the WS that is sold in many stores, but mine is attached with an adhesive instead of with a tab in the slot of the door frame.